CAT Practice : Coordinate Geometry

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It helps to know all the formulae for computing area of a triangle. Knowing only Hero's formula can land one in trouble on occasions.

Triangles - Area

    Q.3: Sides of a triangle are 6, 10 and x for what value of x is the area of the △ the maximum?
    1. 8 cms
    2. 9 cms
    3. 12 cms
    4. None of these


  • Correct Answer
    Choice (D). None of these

Detailed Solution

Side of a triangle are. 6, 10, x.
Area = x 6 x 10 sin ∠BAC.
Area is maximum, when ∠BAC = 90◦
x =
There is a more algebraic method using hero’s formula. Try that also.
Answer Choice (D)

Correct Answer: None of these

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Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.